5035414208328 has 768 divisors, whose sum is σ = 17620581888000. Its totient is φ = 1291579914240.

The previous prime is 5035414208323. The next prime is 5035414208347. The reversal of 5035414208328 is 8238024145305.

5035414208328 is a `hidden beast` number, since 5 + 0 + 3 + 5 + 414 + 208 + 3 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (5035414208323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6208895043 + ... + 6208895853.

It is an arithmetic number, because the mean of its divisors is an integer number (22943466000).

Almost surely, 2^{5035414208328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5035414208328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8810290944000).

5035414208328 is an abundant number, since it is smaller than the sum of its proper divisors (12585167679672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5035414208328 is a wasteful number, since it uses less digits than its factorization.

5035414208328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 5035414208328 in words is "five trillion, thirty-five billion, four hundred fourteen million, two hundred eight thousand, three hundred twenty-eight".